Writer of clues, each straight: a cryptic suffocating yours truly (6,8)

I believe the answer is:

agatha christie

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'writer' is the definition.
(I've seen this before)

I don't understand the rest of the clue.

(Other definitions for agatha christie that I've seen before include "Detective story writer" , "One who wrote" , "author" , "[THE QUEEN OF CRIME] - with 16d" .)

I've seen this clue in The Telegraph.

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